Theorems · Theorem · order theory
le_of_mul_le_of_one_le_left
∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [MulLeftMono α] {a b c : α}, a * b ≤ c → 1 ≤ b → a ≤ c- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- LE.le.transproof · cited by 3,151
- MulOneClassstatement and proof · cited by 1,018
- MulLeftMonostatement and proof · cited by 410
- le_mul_of_one_le_right'proof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- mabs_sup_div_sup_le_mabsproof · cited by 1